The move follows a rocket landing near the airport.
The FAA issued a NOTAM, or Notice to Airman, barring the flights just after noon on Tuesday.
“The notice was issued in response to a rocket strike which landed approximately one mile from Ben Gurion International Airport on the morning of July 22, 2014. The NOTAM applies only to U.S. operators, and has no authority over foreign airlines operating to or from the airport,” the FAA said in a statement. “The FAA will continue to monitor and evaluate the situation. Updated instructions will be provided to U.S. airlines as soon as conditions permit.”